There exists an analogy between the structure of ideals of a cone in a right-ordered group and the structure of ideals of a Dubrovin valuation ring in a simple artinian ring. The structure of ideals of rank one cones and rank one Dubrovin valuation rings can be described completely. One sided versions of this problem are considered in 5] where the ideal theory of right cones is developed and a ...

Based on the interval neutrosophic numbers, a new multi-objective optimal model of two-sided matching is researched. Through integrating interval neutrosophic information of each subject, the relative closeness degree of uncertainty evaluation information and positive and negative ideal is calculated by the approximate method, which can be expected as the satisfaction of the matching subjects. ...

Abstract: In this study we introduce a new class of a non-associative algebraic structure namely intra-regular Abel Grassmann's groupoid (AG-groupoid in short). We apply generalized fuzzy ideal theory to this class and discuss its related properties. We introduce ) , ( k q ∨ ∈ ∈ -fuzzy semiprime ideals in AG-groupoids and characterize it. Specifically we have characterized intra-regular AG-grou...

Given a right ideal I in ring R, the idealizer of R is largest subring which becomes two-sided ideal. In this paper we consider idealizers second Weyl algebra A2, differential operators on k[x,y] (in characteristic 0). Specifically, let f be polynomial x and y defines an irreducible curve whose singularities are all cusps. We show that fA2 A2 always left noetherian, extending work McCaffrey.

Multi-class classification algorithms are very widely used, but we argue that they are not always ideal from a theoretical perspective, because they assume all classes are characterised by the data, whereas in many applications, training data for some classes may be entirely absent, rare, or statistically unrepresentative. We evaluate onesided classifiers as an alternative, since they assume th...

The management of neonates with esophageal atresia (EA) associated with right-sided aortic arch (RAA) is often difficult technically. Many surgeons would advise for repair through left-chest access. In this article, we report our experience of repairing 2 patients with EA associated with RAA thoracoscopically. We conclude that thoracoscopic repair is ideal for all patients with EA.

In this paper we introduce the notions of pure ideals, weakly pure ideals in ternary semigroups. We also de ne purely prime ideals of a ternary semigroup and study some properties of these ideals. The space of purely prime two-sided ideal is topologized.

we report the cases of two patients diagnosed with morgagni hernia who presented with nonspecific abdominal symptoms. both underwent laparo­scopic surgery that used a dual-sided mesh, polyvinylidene fluoride (pvdf; dynamesh ipom®). the procedures were successful and both patients were discharged with no complications. there was no recurrence in 18 months of follow up. herein is the report of th...

Using left ideals, right ideals, and the smallest two sided ideal in a compact right topological semigroup, we derive an extension of the Main Lemma to Carlson’s Theorem. This extension involves an infinite sequence of variable words over a finite alphabet, some of which are required to have the variable as the first letter and others of which are required to have the variable

A complete contraction on a C-algebra A, which preserves all closed two sided ideals J , can be approximated pointwise by elementary complete contractions if and only if the induced map on B⊗A/J is contractive for every C-algebra B, ideal J in A and C-tensor norm on B ⊗ A/J . A lifting obstruction for such an approximation is also obtained.